12 049 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
265079	6	18.0	old
3819436609	10	31.8	2008-08-26 19:58:36
5195959355399497	16	52.2	2008-08-29 02:24:29
1110252893633016534510113	25	79.9	2008-10-16 23:57:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1678 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	5F6EA544FC8E367C	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5F6EA544FC8E367C	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5F6EA544FC8E367C	4	8812	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D57D9C05EFDE856C	4	11624	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	D57D9C05EFDE856C	4	4266	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=117/61, B1=430000000, B2=429570000000
2025-02-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : D57D9C05EFDE856C
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : D57D9C05EFDE856C
2017-12-07	ATH	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : 5F6EA544FC8E367C
2017-10-02	kkmrkkblmbrbk	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : 5F6EA544FC8E367C
2017-09-21	Oliver Kruse	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : 5F6EA544FC8E367C
2017-09-21	Oliver Kruse	C-PRP	M12049/265079/3819436609/5195959355399497/1110252893633016534510113 : 5F6EA544FC8E367C
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 1110252893633016534510113
2008-08-29	-anonymous-	F	Factor: 5195959355399497
2008-08-26	-anonymous-	F	Factor: 3819436609